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18431626304 = 2671317186163
BaseRepresentation
bin10001001010100111…
…000100110001000000
31202120112100122000002
4101022213010301000
5300221444020204
612244541415132
71221516144560
oct211247046100
952515318002
1018431626304
1178a9199713
1236a486a4a8
131979796170
14c6bca4da0
1572d21791e
hex44a9c4c40

18431626304 has 112 divisors (see below), whose sum is σ = 47663941248. Its totient is φ = 6862675968.

The previous prime is 18431626303. The next prime is 18431626307. The reversal of 18431626304 is 40362613481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18431626303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5927 + ... + 192089.

It is an arithmetic number, because the mean of its divisors is an integer number (425570904).

Almost surely, 218431626304 is an apocalyptic number.

18431626304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18431626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831970624).

18431626304 is an abundant number, since it is smaller than the sum of its proper divisors (29232314944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18431626304 is a wasteful number, since it uses less digits than its factorization.

18431626304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186212 (or 186202 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 18431626304 in words is "eighteen billion, four hundred thirty-one million, six hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 952 1088 1456 1547 1768 1904 2912 3094 3536 3808 5824 6188 7072 7616 12376 14144 24752 49504 99008 186163 372326 744652 1303141 1489304 2420119 2606282 2978608 3164771 4840238 5212564 5957216 6329542 9680476 10425128 11914432 12659084 16940833 19360952 20850256 22153397 25318168 33881666 38721904 41142023 41700512 44306794 50636336 67763332 77443808 82284046 83401024 88613588 101272672 135526664 154887616 164568092 177227176 202545344 271053328 287994161 329136184 354454352 542106656 575988322 658272368 708908704 1084213312 1151976644 1316544736 1417817408 2303953288 2633089472 4607906576 9215813152 18431626304